Mass singularity and confinement

Infrared behaviour of the fermion propagator is examined by spectral representation.Assuming asymptotic states and using LSZ reduction formula we evaluate the the lowest order spectral function by definition.After exponentiation of it we derive the non perturbative propagator.It shows confinement and dynamical mass generation explicitly.Comment: 7pages,latex,prepared for light-cone 2005,typos corrected,add reference

Phase structure of Topologically massive gauge theory with fermion

Using Bloch-Nordsieck approximation fermion propagator in 3-dimensional gauge theory with topological mass is studied. Infrared divergence of Chern-Simon term is soft,which modifies anomalous dimension. In unquenched QCD with 2-component spinor anomalous dimension has fractional value,where order parmeter is divergent.Comment: 3 pages,Latex,no figures,for the proceedings of strong coupling gauge theory.typos corrected. anomalous dimension is corrected